Publication result detail

BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS OF DISCRETE EQUATIONS

BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z.

Original Title

BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS OF DISCRETE EQUATIONS

English Title

BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS OF DISCRETE EQUATIONS

Type

Paper in proceedings (conference paper)

Original Abstract

A nonlinear triangular system of discrete equations ui(k + 1) = qi(k)\prod^i_{j=1}u^{pij}_j (k), i = 1, . . . , n is considered where k ∈ {a, a + 1, . . . }, a is a fixed positive integer, qi are real functions and exponents pij are positive constants. Sufficient conditions are formulated assuring the existence of at least one solution u = u(k), k ∈ {a, a + 1, . . . } such that its coordinates ui(k), i = 1, . . . , n are bounded above and below by given functions. Two convergent sequences of functions are constructed such that, with their limits, it is possible to define a set of of initial values generating such solutions.

English abstract

A nonlinear triangular system of discrete equations ui(k + 1) = qi(k)\prod^i_{j=1}u^{pij}_j (k), i = 1, . . . , n is considered where k ∈ {a, a + 1, . . . }, a is a fixed positive integer, qi are real functions and exponents pij are positive constants. Sufficient conditions are formulated assuring the existence of at least one solution u = u(k), k ∈ {a, a + 1, . . . } such that its coordinates ui(k), i = 1, . . . , n are bounded above and below by given functions. Two convergent sequences of functions are constructed such that, with their limits, it is possible to define a set of of initial values generating such solutions.

Keywords

nonlinear triangular system, discrete equation, convergent sequence.

Key words in English

nonlinear triangular system, discrete equation, convergent sequence.

Authors

BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z.

RIV year

2022

Released

27.08.2021

Publisher

Universita obrany

Location

Brno

ISBN

978-80-7582-380-9

Book

MITAV 2021

Pages from

1

Pages to

12

Pages count

12

URL

https://mitav.unob.cz

BibTex

@inproceedings{BUT172319,
  author="Jaromír {Baštinec} and Josef {Diblík} and Zuzana {Gavorová}",
  title="BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS
OF DISCRETE EQUATIONS",
  booktitle="MITAV 2021",
  year="2021",
  pages="1--12",
  publisher="Universita obrany",
  address="Brno",
  isbn="978-80-7582-380-9",
  url="https://mitav.unob.cz"
}